how to graph a parent function and describe the transformations it obtains?

How To Graph A Parent Function And Describe The Transformations It Obtains?

Answers

Answer 1

The graph of the function f(x) = -2|x-3|+1 is attached below.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

f(x) = -2|x-3|+1

First |x-3| shows there is horizontal shift by 3 units.

Now, '+1' shows there is Vertical shift by 1 unit.

and, 2|x-3| shows there is Vertical stretch and the negative sign shows reflection over x- axis.

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How To Graph A Parent Function And Describe The Transformations It Obtains?

Related Questions

What is line segment class 7?

Answers

In geometry, a line segment is bordered by two distinct points on a line. Or we can say a line segment is a portion of the line that connects two points.

The length of the line segment does not differ and the distance between them does not change. The units in which a line can be estimated are centimetres, millimetres, meters, inches, or feet.

A closed-line segment has both endpoints, whereas an open-line segment has two endpoints. A line segment that has only one endpoint is known as a half-open line segment.

A line segment with two endpoints P and Q and is denoted by the bar symbol (—).

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Solve for x
A) 0.9
B) 160
C) 10
D) 1.1

Answers

Answer:

A) 0.9

Step-by-step explanation:

Since these chords are perpendicular, we know that the proportion of each length is equal. Thus 3/40 = x/12, which we can solve to find x = 0.9

What is the perimeter of the following composite figure?
1. 35.13 yd
2. 21 yd
3. 47.13 yd
4. 42 yd

Answers

Answer: 42 yd

Step-by-step explanation: For the perimeter you add up all sides of the figure.

9+9+12+12=42 yd

Alicia says the expression 2(m +4)+5 is equivalent to the expression 2m+13. Identify two properties that can be used to support Alicia's claim and justify your answer

Answers

associative property and distributive property

Diaz has a company car that allows him to drive up to 1,500 miles each month. He averages 28 miles each day. The remaining miles for this month can be calculated using the formula m = 1500 - 28d where m is the remaining miles and d is the is the number of days driven this month. Which of the following statements is true?

Answers

The remaining miles are 660 miles.

This month, Diaz drives 28 miles each day using the car allotted to him by his company.

But the company allows him to drive up to 1500 miles each month by his car.

To calculate the remaining miles that Diaz has not traveled this month, we have to use the formula m = 1500 - 28d, where d is the number of days in that particular month.

A month general consists of 30 days.

So, this month Diaz has traveled 28×30 miles = 840 miles ( using multiplication)

Therefore, the remaining miles(m) that Diaz has not traveled this month comes to 1500 - 840 = 660 miles.

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The complete question is:

Diaz has a company car that allows him to drive up to 1,500 miles each month. He averages 28 miles each day. The remaining miles for this month can be calculated using the formula m = 1500 - 28d where m is the remaining miles and d is the number of days driven this month. What are the remaining miles?

The diameter of the circle above is 86 cm. What is the circumference of the circle? (Use = 3.14.)

Answers

Answer:

Yes

Step-by-step explanation:

According to my calculation, yes it is

in a right triangle with sides a and b and c where c is the hypotneuse, what is the cosine of angle A?

Answers

In a right triangle with sides a and b and c where c is the hypotenuse, then the cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

In the given question, in a right triangle with sides a and b and c where c is the hypotenuse, then we have to find the cosine of angle A.

A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

The cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

Cosine of angle A = Adjacent side to the angle A/Side adjacent to the angle A

Cosine of angle A = b/c

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Carlton is using the following data samples to make a claim about the house values in his neighborhood:House ValueA $100,000B $600,000C $650,000D $700,000E $900,000Based on the data, should Carlton use the mean or the median to make an inference about the house values in his neighborhood?He should use the median because there is an outlier that affects the mean.He should use the mean because there are no outliers that affect the mean.He should use the mean because it is in the center of the data.He should use the median because it is in the center of the data.

Answers

The option A "He should use the median because there is an outlier that affects the mean." is correct.

It is clear from the data that option E's house is much more expensive than those in the other options. A $9,00,000 price is therefore an outlier in this set of data.

In symmetrically distributed data, an inference is made using the mean. Due to the inclusion of an outlier, the data is not symmetrical. As a result, the mean won't accurately depict the data's centre. As a result, we shall refrain from drawing conclusions about the pricing of the residences using the mean.

Therefore, since the median is unaffected by outliers, we shall use it.

Therefore, since there is an outlier that influences the mean, we will utilise the median. The answer is (A).

Your sincere criticism is crucial for better outcomes.

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How do you graph a slope of 3 4?

Answers

if the y-intercept is (0,5), you have:

y = (3/4)x + 5

How to slope a graph?

To graph a line with a slope of 3/4, you can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Since the slope is 3/4, the equation of the line is y = (3/4)x + b.

To find the y-intercept, you can plug in the coordinates (0,b) into the equation. So if the y-intercept is (0,5), you have:

y = (3/4)x + 5

You can then plot the point (0,5) on the graph, and use the slope of 3/4 to find the next point by going up 3 and right 4.

Another way is to pick two points on the line and plot them, you can use the slope formula (rise over run) to find the next point on the line.

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plz help will mark brainliest!!!!

Answers

Answer: a

Step-by-step explanation:

maddox has $12.25 to spend on sports drinks. Each drink costs $1.75. Use the guess, check, and revise strategy to solve the equation 1.75d=12.25 to find d, the number of drinks Maddox can buy.

Answers

First you divide 12.25 by 1.75 then your answer will be 7 so therefor (D = 7)

x / 7 = -8
what is the answer

A:15
B: -15
C: 56
D: -56

Answers

Answer:

x / 7 = -8

D) -56

-56/7 = -8

Answer:

D. X=-56 (the answer should have a negative sign.)

Step-by-step explanation:

To solve this problem, first, you have to isolate by the x from one side of the equation.

Multiply by 7 from both sides of an equation.

x/7=-8

[tex]\sf\dfrac{7x}{7}=7(-8)[/tex]

Solve.

7(-8)=-56

[tex]\large\boxed{x=-56}[/tex]

Therefore, the correct answer is d. x=-56.

probability:
a) A family wants to have 4 children. Design and do a simulation to determine the probability that, if they do have 4 children, they will have two boys and two girls. (Hint: Use coins.)
b) A basketball player is shooting free throws blindfolded. He shoots in groups of 4 shots. Assume that it is equally likely that he will hit or miss a shot. Design and do a simulation to determine the probability that he will hit at least 75% of his shots within the groups. (Hint: Use coins.)

Answers

a) A simulation of the probability that a family with 4 children will have 2 boys and 2 girls can be done using coins. We can represent boys as heads (H) and girls as tails (T).

To simulate the birth of one child, we will flip a coin. If it comes up heads, it represents the birth of a boy, and if it comes up tails, it represents the birth of a girl. We will repeat this process four times to simulate the birth of four children.

We can use the simulation to estimate the probability of the family having 2 boys and 2 girls. We can do this by performing the simulation multiple times (e.g. 100, 1000 or more) and counting the number of times that the family has 2 boys and 2 girls.

The probability can be calculated by dividing the number of successful outcomes (2 boys and 2 girls) by the total number of simulations.

   

b) A simulation of the probability that a basketball player will hit at least 75% of his shots within the groups can be done using coins. We can represent hitting a shot as heads (H) and missing a shot as tails (T). To simulate one shot, we will flip a coin. If it comes up heads, it represents hitting the shot, and if it comes up tails, it represents missing the shot. We will repeat this process four times to simulate the shooting of four shots.

To determine the probability of hitting at least 75% of the shots, we will perform the simulation multiple times (e.g. 100, 1000 or more) and count the number of times that the player hits at least 3 out of 4 shots.

The probability can be calculated by dividing the number of successful outcomes (3 or 4 shots hit) by the total number of simulations

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The table shows pairs of values for the linear function f(x) = 3x
f(x)
-2
1
4
7
10
X
0
1
2
3
4
Which conjecture about linear functions in general is best supported by the
table?
Equal changes in the value of x
result in equal changes in the value
of y.
B. The difference between the x- ar
y-values in each ordered pair (x,
is a constant.

Answers

Answer:

the answer is. The answer is

57

Step-by-step explanation:

Does 5 12 13 make a right triangle?

Answers

The sides of the triangle having length as  5 units , 12 units and 13 units make a Right Triangle because the condition to form a right triangle is satisfied by the given sides .

The Pythagoras Theorem is used to check whether the sides form a right triangle or not , it  states that square of the lonest side (hypotnuse) of the triangle is equal to  sum of  square of other two sides ( perpendicular and Base) ,

The side lengths of  triangle = 5 units , 12 units and 13 units ,

By  Pythagoras theorem , we have  [tex]13^{2} = 12^{2} + 5^{2}[/tex]

On simplifying ;

we get ;

[tex]169 = 144 + 25[/tex] ;

[tex]169 = 169 ;[/tex]

the condition of Pythagoras theorem is satisfied ,

that means the sides form a right triangle .

Therefore , the side 5 units , 12 units and 13 units  make a right triangle .

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RIGHT ANSWER WILL GET BRAINLEIST

A circular table has a diameter of 3 feet. Kristin is taping a piece of border around the edge of the table. Exactly how much border does Kristin need?

Answers

Exact length of border required by Kristin is calculated to be 9.42 ft.

This question can be solved using the concept of circumference of a circle.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve/arc length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles.

Circumference of a circle is given by 2πr.(r is the radius of the circle)

In the given question,

diameter= 3ft

radius= half times of diameter

radius= 1.5 ft.

Circumference= 2πr

= 2×3.14×1.5

=9.42 ft

Kristin will require 9.42 ft of border around the edge of the table.

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PLEASE HELP ASAP!! :D

Answers

Answer:

Scale factor 2

Step-by-step explanation:

I compared the length of each side.

TS was 6 units long, while HG was 3

6/3 = 2

You can do the same with other sides, since the shapes are congruent.

RS is 4 units, and FG is 2

4/2 = 2

Answer:

Oh so this is the other thing

Step-by-step explanation:

Anyways the scale factor is two

You dont have to mark me brainiest

HEEELLP me PLEASE!!!

Answers

Answer:

T=(I/p)/r

Step-by-step explanation:

I = Prt is the same thing as: I = P*r*t

We want the answer to be as:

T = ???

The only thing you need to do is the get T to one side.

1. [tex]I = P*r*t[/tex]

2. [tex]I/p=r*t[/tex]

3. [tex](I/p)/r=t[/tex]

4. [tex]t=(I/p)/r[/tex]

Work out the value of (6.31 x 10^5)+(2.6 x 10^4)
Give your answer in standard form

Answers

Answer: standard form of (6.31×10⁵ ) + (2.6×10⁴) is 65.7 × 10⁴.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

As given,

(6.31×10⁵ ) + (2.6×10⁴) = ( 6.31× 10⁴ ×10 ) + (2.6 × 10⁴ )

                                   =  ( 6.31 × 10 + 2.6 )

                                   =  ( 63.1 + 2.6 )

                                   =  ( 65.7 )

                                   = 65.7 × 10⁴

Hence, the standard form of ( 6.31× 10⁵) + (2.6 × 10⁴) = 65.7 × 10⁴.

[tex](6.31\times 10^{5})+(2.6\times 10^{4})\implies 6\underline{31000}+2\underline{6000} \implies \text{\LARGE 657000}[/tex]

what are the zeros of the quadratic function f x equals 2x ^ 2 + 15x - 9​

Answers

a=2 b=15 c=-9

[tex]( - b + - \sqrt{b ^{2} - 4ac } ) \div 2a[/tex]

+ =0.5584

- =-8.0584

A square dining room table has a perimeter of (12x "-40)" feet.Which expression represents the side length of the table (in feet)

Answers

The equation that represents the length of the square dining room in feet is (1/4)x - 5/6.

What are the dimensions of a square?

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If a side has a length 'a' then the diagonal is a√2.

The perimeter of a square is the sum of the lengths of all the sides.

We know the perimeter of a square is 4×side.

We also know that 1 foot is equal 12 inches.

Given, A square dining room table has a perimeter of (12x - 40)".

Now if we factor out a 4 we'll have the side inside the bracket which is,

4(3x - 10)'', This is in inches to convert it to feet we have to divide what is inside the bracket by 12 which is,

= (3/12)x - 10/12 feet.

= (1/4)x - 5/6 feet.

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Remember, adjectives in Spanish agree with the gender of the noun they describe.
Por ejemplo: el chico ordenado / la chica artística

Answers

Answer:

The correct translation fo the sentences for each case is:

Una chica seria.El chico talentoso.Una chica extrovertida.El helado sabroso.Un libro gracioso.

Step-by-step explanation:

In Spanish, the phrases regularly have the next order:

Article / Noun / Adjective

By this reason, in all of the phrases I put the adjective at the end, and the noun in the middle. By other side, you must pay attention that the adjective agree with the noun, how you can see in the answer, I show you how, when it's a masculine noun, finished in vowels as "o," the adjective finishes in a masculine form too ("o" in the exercises), by last, when the noun ends in a feminine form, the adjective finishes in a femenine form too (in the exercise you can see the noun and the adjective finishes in "a").

If it is 10:00 A.M. Friday in Miami, Florida Eastern time zone (based on 75o W), what is time and day is it in Los Angeles California (120oW), Pacific Time zone

Answers

Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.

Define time.

In mathematics, time is described as a continuously and continuous series of events that take place in chronologically from the past through to the present and into the future. The duration of events, the gaps between them, or even the sequence of occurrences can all be quantified, measured, or compared using time.

Here,

If it is 10 a.m. on Friday in Miami, Florida's Eastern time zone, it is 7 a.m. on Friday in Los Angeles,

California's (120 o W) pacific time region

since Miami, Florida's Eastern time zone is three hours early of Los Angeles.

Thus,

the correct response is 7 am on Friday.

Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.

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Which ordered pairs are the answer

Answers

Answer:

(4,14) (8,28))

Step-by-step explanation:

3.5(4) = 14

3.5(8) = 28

Each league plays 80 games in a month.

Based on the mean from the sample, how many more goals will be scored in the English League than in the French League in a month?

Answers

Answer:

Step-by-step explanation:

the answer is 152

Select the values that make the inequality 5u> -80 true. Then write an equivalent
inequality, in terms of u.
(Numbers written in order from least to greatest going across.)
-26
0 -17
0-13
0 -21
☐ -16
Submit Answer
0 -11
Equivalent Inequality: u
□ -19
0-15
-6

Answers

The value u > -16 that makes the inequality 5u > -80 is true.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

We have the inequality,

5u > -80

To find the solution set of the inequality;

Divide by 5 to both sides,

5u/5 > -80/5

u > -16.

That means, the inequality is true for u > -16.

Therefore, the inequality is true for u > -16.

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What is the solution

Answers

Answer: (-1,-1)

3rd option

Step-by-step explanation:

(-1,-1).....................

What property of multiplication is 5x1 5 1x5 5?

Answers

The property used in this is the commutative law of multiplication.

What is the commutative law of multiplication?

In mathematics, commutative law refers to either of two rules relating to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.

Here, we have

Given:  5x1 = 5 = 1x5

We have to find which property of multiplication is applied here.

5x1 = 5

1x5 = 5

We concluded from the given statement that the commutative law of multiplication is applied here.

commutative law of multiplication: ab = ba

Hence, the property used in this is the commutative law of multiplication.

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f(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros​

Answers

Answer:

{-1, 4}

Step-by-step explanation:

In the given f(x) = -1/2x^2 + 3/2x - 2

set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:

f(x) = -1/2x^2 + 3/2x - 2 = 0  =>  1x^2 - 3x - 4 = 0  

This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}.  These are the zeros.

A vacation home in Orlando, Florida, rents for $105 per day. The function gives the cost of renting the home for x days. What is the domain of this function?

A.{0,1,2,3,...}
B. all real numbers
C.{0,105,210,315, ...}
D.x≥0

Answers

Answer:

A.

Step-by-step explanation:

The domain has to be a number of days, counted using whole numbers.  It might be tempting to choose answer D, but that set includes numbers like 3.1416.  Really?  I want to rent a vacation home for 3.1416 days?  :-)

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